"I fully anticipate that we will fly again on a Soyuz rocket and I have no reason to believe at this point that it will not be on schedule," he told reporters in Moscow.
It was the first such incident in Russia's post-Soviet history -- an unprecedented setback for the country's space industry.
Bridenstine, who is visiting Russia and Kazakhstan for the first time since his appointment as NASA head this year, observed the launch from the Baikonur cosmodrome with his Russian counterpart Dmitry Rogozin.
He said he was "confident" that a new manned mission to the ISS would go ahead as planned in December, praising the "wonderful relationship" between the Russian and US space agencies.
The next Soyuz launch had been scheduled to take a new crew to the ISS on December 20.
The Russian space agency said on Friday it may bring forward the launch of the next mission to the ISS.
Looking at times emotional, the NASA chief praised "the resilience" of the Soyuz rocket.
"Not every mission that fails ends up so successful," he said.
The NASA chief played down tensions between the two countries, saying space remained an area of cooperation.
"We can both do more in space together than we can do alone," he said, adding his relationship with Russian space agency chief Rogozin was "very solid."
When asked about the accident, Trump said on Thursday that he was "not at all worried" that Americans had to rely on Russians to go to space.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)